8121845760 has 384 divisors, whose sum is σ = 30002918400. Its totient is φ = 1837301760.

The previous prime is 8121845749. The next prime is 8121845779. The reversal of 8121845760 is 675481218.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×8121845760⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38492055 + ... + 38492265.

It is an arithmetic number, because the mean of its divisors is an integer number (78132600).

Almost surely, 2^8121845760 is an apocalyptic number.

8121845760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8121845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001459200).

8121845760 is an abundant number, since it is smaller than the sum of its proper divisors (21881072640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8121845760 is a wasteful number, since it uses less digits than its factorization.

8121845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 8121845760 is about 90121.2836126961. The cubic root of 8121845760 is about 2010.1026951812.

The spelling of 8121845760 in words is "eight billion, one hundred twenty-one million, eight hundred forty-five thousand, seven hundred sixty".